UNSPECIFIED. (2002) Computing inertial manifolds. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 8 (4). pp. 815-833. ISSN 1078-0947

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Abstract

This paper discusses two numerical schemes that can be used to approximate inertial manifolds whose existence is given by one of the standard methods of proof. The methods considered are fully numerical, in that they take into account the need to interpolate the approximations of the manifold between a set of discrete gridpoints. As all the discretisations are refined the approximations are shown to converge to the true manifold.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Publisher:	AMER INST MATHEMATICAL SCIENCES
ISSN:	1078-0947
Date:	October 2002
Volume:	8
Number:	4
Number of Pages:	19
Page Range:	pp. 815-833
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10552

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